Phononic friction and heat transfer between nanoscale water flow and graphene layers

Calculations are given of the friction coefficient and the heat transfer coefficient at the interface between water and a system of graphene layers within the framework of a model in which the interaction between fluctuating displacements of water and graphene surfaces was described by the Lennard-Jones potential and the electrostatic potential. The friction coefficient and the heat transfer coefficient increase with an increase in the number of graphene layers and reach saturation for $N>10$, which is attributed to an increase in the phonon transmission coefficient across the interface and a finite phonon mean free path in the direction perpendicular to the surface.